关于输气管道的一个泄漏点的检测问题

THE PROBLEM OF THE DETECTION OF THE LEAK LOCATION IN THE GAS PIPELINE

对于考虑天然气输气管道一个泄漏点的检测问题,建立了存在一个泄漏点的输气管道的偏微分方程反问题的数学模型,利用正交变换法找出了泄漏点的漏失量与泄漏位置之间的关系。运用最小二乘法原理求解矛盾方程组, 找出了泄漏点位置,并用MATLAB编程实现。

In order to solve the problem of the detection of the leak location in the gas pipeline, a partial differential equation (PDE) reversed question mathematical model was founded on the condition of only one leakage location existing. And then, the orthogonal transformation was taken to get the relationship between the leakage and the location. With the least square algorithm, the inconsistent equation set was solved to find out the location of leakage. The above process is realized with MATLAB.